1214233710144 has 448 divisors, whose sum is σ = 4305707212800. Its totient is φ = 292919058432.

The previous prime is 1214233710113. The next prime is 1214233710167. The reversal of 1214233710144 is 4410173324121.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9564009 + ... + 9690135.

It is an arithmetic number, because the mean of its divisors is an integer number (9610953600).

Almost surely, 2^{1214233710144} is an apocalyptic number.

1214233710144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214233710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152853606400).

1214233710144 is an abundant number, since it is smaller than the sum of its proper divisors (3091473502656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1214233710144 is a wasteful number, since it uses less digits than its factorization.

1214233710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126210 (or 126200 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1214233710144 in words is "one trillion, two hundred fourteen billion, two hundred thirty-three million, seven hundred ten thousand, one hundred forty-four".